jee-main 2022 Q68

jee-main · India · session2_29jul_shift2 Proof Proof of Equivalence or Logical Relationship Between Conditions
The statement $(p \Rightarrow (q \vee p)) \Rightarrow r$ is NOT equivalent to:
(1) $p \wedge \sim r \Rightarrow q$
(2) $\sim q \Rightarrow (\sim r \vee p)$
(3) $p \Rightarrow (q \vee r)$
(4) $p \wedge \sim q \Rightarrow r$
The statement $(p \Rightarrow (q \vee p)) \Rightarrow r$ is NOT equivalent to:\\
(1) $p \wedge \sim r \Rightarrow q$\\
(2) $\sim q \Rightarrow (\sim r \vee p)$\\
(3) $p \Rightarrow (q \vee r)$\\
(4) $p \wedge \sim q \Rightarrow r$